摘  要：諧波污染對電力系統和電力設備產生嚴重的危害和影響，當電力信號中存在強大的噪聲成分時，傳統的快速傅里葉變換（fast fourier transform，FFT）無法準確提取出諧波成分。該文在信號稀疏表示理論的基礎上，提出基于稀疏表示的電力系統諧波信號頻率分析方法，并設計出諧波頻率分析快速算法。通過Matlab仿真，結果表明該方法能準確提取諧波成分的頻率，具有較強的抗噪能力。
關鍵詞：諧波分析；頻率分析；稀疏表示；快速傅里葉變換
文獻標志碼：A       文章編號：1674-5124（2016）01-0035-03
Sparse representation-based analysis of harmonic signal frequency in power system
ZHANG Runhan1， HU Luoquan1，2
（1. School of Urban Rail Transportation，Soochow University，Suzhou 215131，China；
2. Suzhou Entry-Exit Inspection and Quarantine Bureau，Suzhou 215104，China）
Abstract: Harmonic waves are harmful to electric power systems and electrical equipment. The analysis of harmonic signal frequency in power system has long been an important subject for electric power designers. Strong background noise in signals will interface harmonic components, thus making them too hard to be derived with the traditional approach-fast fourier transform （FFT）. In this paper, we have designed a fast algorithm for harmonic analysis based on the sparse representation theory. The Matlab-based simulation experiment has shown that the proposed method, because of its strong anti-noise capacity, can be used to extract accurately the frequency of harmonic components.
Keywords: harmonic analysis； frequency analysis； sparse representation； FFT